I dunno. A beanstalk climbing up the side of a mesa? Maybe, but that raises the issue of how Jack severing the stem at the bottom is going to lead directly to the Giant's fatal fall. If the tendrils of the stalk weren't sufficient to anchor the plant to the cliff and provide a safe climbing path for him with it intact, then Jack hardly needed to bother chopping at the base.

And if they were sufficient to anchor the plant, cutting the base of the stalk isn't likely to make much difference, wrt the Giant reaching Jack's level in one piece.